Francisco Sepúlveda Teixeira

Associate Professor

Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa

Member of Sociedade Portuguesa de Matemática, Deutsche Mathematiker-Vereinigung, American Mathematical Society, Ordem dos Engenheiros.

Phone: +351-21 8417081
Fax: +351-21 8417598
Email: fteix@math.ist.utl.pt

Postal Address:
Departamento de Matemática
Instituto Superior Técnico
Av. Rovisco Pais
1049-001 Lisboa, Portugal

Research interests

· Operator Theory and Operator Algebras

· Integral Operators

· Diffraction Theory

Selected Publications

Operator Theoretical Methods and Applications to Mathematical Physics. Erhard Meister Memorial Volume, Vol. 147 of Operator Theory: Advances and Applications. Birkhäuser, Basel 2004 (Co-editor with I. Gohberg, F.-O. Speck e A. Ferreira dos Santos).

On a class of diffraction problems posted by Erhard Meister (with Castro, L. P., Speck, F.-O.). In I. Gohberg et al., editors, Operator Theoretical Methods and Applications to Mathematical Physics. Erhard Meister Memorial Volume, Vol. 147 of Operator Theory: Advances and Applications, 211-238, Birkhäuser, Basel 2004.

Factorization of matrix functions and the resolvent of certain operators (with Conceição, A. and Kravchenko, V. G.) In A. Böttcher et al., editors, Singular Integral Operators, Factorization and Applications, Operator Theory: Advances and Applications, Vol. 142, Birkhäuser, Basel, 2002.

The Helmholtz equation in a quadrant with Robin's conditions (with Penzel, F.), Math. Meth. Appl. Sci., 22 (1999) 201-216.

A Wiener-Hopf approach for the scattering by a disk (with Penzel, F.), Integral Equations and Operator Theory, 24 (1996), 230-247.

A normalization problem for a class of singular integral operators with Carleman shift and unbounded coefficients (with Kravchenko, V.G., Lebre, A.B. and Litvinchuck, G.S.), Integral Equations and Operator Theory, 21 (1995), 342-354.

Fredholm theory for a class of singular integral operators with Carleman shift and unbounded coefficients (with Kravchenko, V.G., Lebre, A.B. and Litvinchuck, G.S.), Math. Nachr., 172 (1995), 199-210.

Two canonical wedge problems for the Helmholts equation (with Meister, E., Penzel F. and Speck, F.-O.), Math. Meth. Appl. Sc., 17 (1994), 877-899.

Some results on the invertibility of Wiener-Hopf-Hankel operators (with Lebre, A.B. and Meister, E.), Z. Anal. Anwendungen, 11, nº 1 (1992), 57-76.

Some interior and exteriour boundary value problems for the Helmholtz equation in a quadrant (with Meister, E., Penzel, F. and Speck, F.-O.), Proc. R. Soc. Edinburgh, 123A (1993), 275-294.

Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions (with Meister, E. and Speck, F.-O.), J. Int. Eq. and Appl., 4, nº 2 (1992), 229-255.

Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation, Integral Equations and Operator Theory, 14 (1991), 436-454.

Generalized factorization for a class of symbols in [PC(R)]^2x2, Appl. Anal., 36 (1990), 95-117.

On a class of Hankel Operators: Fredholm properties and invertibility, Integral Equations and Operator Theory, 12 (1989), 592-613.

The diffraction problem for a half-plane with different face impedances revisited (with dos Santos, A.F. and Lebre, A.B.), J. Math. Anal. Appl., 140, nº 2 (1989), 485-509.

On a class of Wiener-Hopf equations of the first kind in a Sobolev Space (with dos Santos, A.F.), Integral Equations and Operator Theory, 10 (1987), 61-81.

Theory of a class of Wiener-Hopf equations of the first-kind Application to the Sommerfeld Problem, (with dos Santos, A.F.), J. Math. Anal. Appl., 128, nº 1 (1987), 189-204.

Further Publications

· See MathSciNet (choose: Full Search, enter: Teixeira, F*S* and start search)

Classes

· Differential and Integral Calculus I - 2006-2007

· Mathematical Analysis I - 2005-2006

· Mathematical Analysis II - 2003-2004

· Mathematical Analysis II - 2005-2006
· Mathematical Analysis (various courses)

· Functional Analysis

· Linear Operators (MSc Course).

Last Update: 15 September 2006